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21 October, 07:32

Given the sequence 12, 6, 3, 3/2, ..., identify the tenth term. Show your work.

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  1. 21 October, 10:04
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    U have a geometric sequence. To find the common ratio, divide the second term by the first term. 6/12 = 1/2

    an = a1 * r^ (n-1)

    n = term to find = 10

    a1 = first term = 12

    r = common ratio = 1/2

    now we sub

    a (10) = 12 * 1/2 (10 - 1)

    a (10) = 12 * 1/2^9

    a (10) = 12 * 1/512

    a (10) = 12/512 reduces to 3/128,< = = ur 10th term
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